RADIAL-DIMENSIONS OF STARBURST POLYMERS

Radial properties of starburst polymers are calculated by renormalizat ion group techniques starting from the Edwards model of the chain. The calculations are carried but for a polymer in good solvents grown out to an arbitrary number of generations g and having an arbitrary branc h functionality f. Excluded volume effects are modeled by delta functi on pseudopotentials. Only pair interactions are included in the calcul ations, which specifically determine the amplitude of the average cent er-to-end distance R of the starburst for definite values of f and g. Our first order in E estimates of the exponents for R and the number o f configurations C coincide with results obtained earlier by direct me thods for networks of arbitrary topology in specific limits.